Find the equation of the linear function x 1 2 3 4 y 6 9 12 15​

Answers

Answer 1

Answer:

The equation of the linear function is y = 3x + 3

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

m is the slopeb is the y-intercept

The rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where

(x1, y1) and (x2, y2) are two points on the line

∵ A line passes through points (1, 6) and (2, 9)

x1 = 1 ad y1 = 6

x2 = 2 and y2 = 9

→ Use the rule of the slope above to find the slope of the line

∵ m = [tex]\frac{9-6}{2-1}[/tex] = [tex]\frac{3}{1}[/tex] = 3

m = 3

→ Substitute the value of m in the form of the equation above

y = 3x + b

→ To find b substitute x and y in the equation by the coordinates of any

   point on the line

∵ x = 1 and y = 6

∴ 6 = 3 (1) + b

∴ 6 = 3 + b

→ Subtract 3 from both sides

∵ 6 - 3 = 3 - 3 + b

3 = b

→ Substitute the value of b in the equation above

∴ y = 3x + 3

The equation of the linear function is y = 3x + 3


Related Questions

-6=n-4n
tfytfytffuygyguyftuiy

Answers

Answer: n=2
-6=n-4n
-6=-3n
-2=-n
n=2

Answer:

2=n

Step-by-step explanation:

-6=n-4n

1. n-4n is -3

2. new equation (-6=-3n)

3. Divide: -6 and -3 =2 to get the n by itself

4. final answer 2=n

The cost of a babysitting service is $8 for the first hour and $10 for each
additional hour. If the total cost of babysitting Josue is $58, how many
hours TOTAL was Josue with the babysitter?

Answers

Answer:

6 hours

Step-by-step explanation:

8 dollar - 1st hour = 8

10 dollar times 5 hours= 50dollar

total - 58 dollars for 6hours

Answer:

she was with the babysitter for 6 hours.

Step-by-step explanation:

Please help I need your help please please

Answers

Answer:

The one in the bottom left

Step-by-step explanation:

in the scatterplot there is a​

Answers

Answer:

i dont see anything

Step-by-step explanation:

Answer:

you didnt add a pic

Step-by-step explanation:

why is it not recommended to scuba dive in the morning and fly home the same afternoon ?​

Answers

Ascending to a high altitude immediately after diving increases a person's risk of suffering from decompression sickness. Therefore flying after diving increases this risk because of the decreasing atmospheric pressure as you ascend. (Give me the crown please )
because your body will be at two different levels of altitude too fast

x-intercept=4 y-intercept= -2 what is the slope of this line?

Answers

Answer:

gradient = change in y/change in x

--> -2/4 = -1/2

Therefore slope = -1/2

Step-by-step explanation:

Please give BRAINLIEST, it is appreciated, hope this helps!

1) h(x) = -3x + 5; Find h(-1-2)

Answers

Answer:

h(-1) = 8

h(-2) = 11

h(-12) = 41

Step-by-step explanation:

h(x) = -3x + 5

h(-1) = -3(-1) + 5 = 3 + 5 = 8

h(-2) = -3(-2) + 5 = 6 + 5 = 11

h(-12) = -3(-12) + 5 = 36 + 5 = 41

9935÷2.76243 hello ​

Answers

Answer:

9935÷2.76243

3596.47122

round it to any place values your question or anythings asks for

Answer:

3596.4712228

Step-by-step explanation:

5 5/12 + 1.75 in fraction form.

Answers

Write the fraction in simplest form.

43/6


In a right triangle, measure of one of the acute angles is 10 degrees more than 3 times the measure of the other angle. What are the measures of the three
angles?

Answers

Answer:

How do you find the angle of a right triangle with 3 sides?

Step-by-step explanation:

Step 1 The two sides we know are Adjacent (6,750) and Hypotenuse (8,100).

Step 2 SOHCAHTOA tells us we must use Cosine.

Step 3 Calculate Adjacent / Hypotenuse = 6,750/8,100 = 0.8333.

Step 4 Find the angle from your calculator using cos-1 of 0.8333:

The angle bisectors of triangle ABC meet at point P. If PQ = 8 and PA = 17, what is the length of AR?

A. 8
B. 15
C. 17
D. Cannot be determined

Answers

Answer:

I'm not sure but I think it's B

one type of insect is 0.0052 meters long. what is this length in scientific notation?

Answers

your answer would be:
5.2*10^(-3)

hope this helps!
happy thanksgiving

Answer:

Because scientific notation has to be in between 1 and 10, you would need this to be 5.2. Count the spaces and since its getting smaller your exponent is negative.

Your answer should be 5.2*10^(-3)

Step-by-step explanation:

Can someone help me with systems of equations, (graphically)

Answers

Answer:

Step-by-step explanation:

You would use -6 and 7 to start your line. With the equation “y=5/6x+7", you would put a dot on 7. Then you would use the 5/6 to start making your line. With fractions, it's always rise/run. Starting from 7, you go up 5 then over(right) 6 until you run out of room on the graph. Then you do the opposite, down 5 then back(left) 6. Then you should have your first line. Then repeat that for the next equation. Start at -6, go down 4 and back three until you run out of room on the graph, then do the opposite. Go up 4 and over 3.

Let me know if this is confusing!

multiply the decimals 12.5 multiply 1.4​

Answers

Answer:

17.5

Step-by-step explanation:

Answer:

17.5

Step-by-step explanation:

3 (1 - x)=2 (-4x + 7)
Solve for X.

Answers

Answer:

x = 11/5

Step-by-step explanation:

3-3x = -8x +14

5x = 11

x= 11/5

Use distributive property
3-3x = -8x + 14
Add 8x to both sides
3+ 5x = 14
Subtract 3 from both sides
5x = 11
X = 11/5

symbolize is the use of a symbol to:


A(describe a character)
B(represent an abstract idea)
C(represent a concrete thing)
D(compare two different things)

Answers

Answer:

B(represent an abstract idea)

Step-by-step explanation:

A symbol is a stylistic figure whose essence is to use a word or phrase to refer to another, usually abstract term, to which it refers.

What symbolism means in every sphere is precisely the reference by one term to another term that symbolizes.

A symbol consists of a concrete material designation which refers to some abstract concept.

Answer:

b is correct give the person above brainlist  :)

Step-by-step explanation:

FIND THE QUADRATIC FUNCTION DETERMINED BY EACH TABLE
X -2 -1 0 1 2 3
Y 4 0 -2 -2 0 4

Answers

Answer:

x² - x - 2 = 0

Step-by-step explanation:

plotting the graph of x and y,we have that the root of the equation is -1 or 2

x = -1 or 2

the eqn therefore is;

x² - (sum of the root)x + (product of the root) =. 0

x² - (-1+2)x + (-1*2) = 0

x² - x - 2 = 0

Applying the Factor Theorem, it is found that the quadratic function is:

[tex]p(x) = x^2 - x - 2[/tex]

------------------------

The Factor Theorem states that if a polynomial [tex]p(x)[/tex] has roots [tex]x_1, x_2, ..., x_n[/tex], it is described by the following equation:

[tex]p(x) = a(x - x_1)(x - x_2)...(x - x_n)[/tex]

In which a is the leading coefficient.

For this quadratic function, the roots are [tex]x_1 = -1, x_2 = 2[/tex], as [tex]y(-1) = y(2) = 0[/tex], thus:

[tex]p(x) = a(x - (-1))(x - 2)[/tex]

[tex]p(x) = a(x + 1)(x - 2)[/tex]

[tex]p(x) = a(x^2 - x - 2)[/tex]

When x = 0, p(x) = -2, and we use this to find a.

[tex]p(x) = a(x^2 - x - 2)[/tex]

[tex]-2 = a(0^2 - 0 - 2)[/tex]

[tex]2a = 2[/tex]

[tex]a = \frac{2}{2}[/tex]

[tex]a = 1[/tex]

Thus, the quadratic function is:

[tex]p(x) = x^2 - x - 2[/tex]

A similar problem is given at https://brainly.com/question/24380382

Which answer choice shows 34.498 rounded to the nearest half?
A. 34
B. 34.5
C. 35
D. 35.5

Answers

Answer:

34.5

Step-by-step explanation:

follow me say a thanks mark me branliest

wayne recorded how much his pet snake,slithers, grew over the past few months. this list shows how much slithers grew each month?

Answers

Answer:

Where is the list?

Step-by-step explanation:

Hi lol htuuuuuuuuuugigkhkjj bbg lbobivobich

HELP! BRAINLIEST ANSWER!

Answers

Answer:

6. 5x - 2

7. 13in

8. 3a + 20

9. 21 1/2

explanation:

6. add all of the values together

7. plug in 3 into the answer from #6 5(3) - 2 and you will get 13

8. add all values

9. plug in 1/2 into the answer from #8 3(1/2) + 20 and you will get 21 1/2

-1/3a - 1/2b - 3/4 + 1/2b - 2/3 + 5/6a

Answers

Answer:

look at the pic i sent

Step-by-step explanation:

Question is : Rearrange to make x the subject : 3y-2x=7

Answers

Answer:

=1

Step-by-step explanation:

Answer:

Work shown below!

Step-by-step explanation:

3y - 2x = 7

Subtract 3y from both sides;

-2x = -3y + 7

Divide both sides by -2

[tex]x=\frac{3}{2}y-\frac{7}{2}[/tex]

what is the LCM of 80​

Answers

so is the question right?

Answer:

Factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80.

Step-by-step explanation:

Come up with an example for a solid, liquid, and gas describing the particle movement.

Answers

Answer:

Ice Cube, Liquid Water, and Steam

Step-by-step explanation:

An example of a solid is a ice cube, the particles are compacted together and there's very little movement.

An example of a liquid is water, the particles are more spread around and the movement is more frequent.

An example of a gas is steam, the particles are anywhere, moving fast and sporadic.

Annabelle is ordering a taxi from an online taxi service. The taxi charges $2 just for the pickup and then an additional $1.50 per mile driven. How much would a taxi ride cost if Annabelle is riding for 6 miles? How much would a taxi ride cost that is mm miles long?

Answers

Answer:

$11

Step-by-step explanation:

Step one:

given

Taxi charges =$2

Additional charges =$1.50 per mile driven

Step two:

Required

The cost of the ride for a 6miles long drive

let the number of miles be x

and the total charges be y

The cost function is expressed as

[tex]y=1.5x+2[/tex]------------1

hence for x=6

y=1.5(6)+2

y=9+2

y=11

Therefore the cost of a 6miles drive will be $11

A scientist discovered a new type of bacteria that will grow at a rate of 3 cells every 2 seconds. If the scientist starts with one bacteria cell in a petri dish, what equation could predict the amount of cells in the dish after x seconds? Please help me​

Answers

Answer:

1.5 x cells

Step-by-step explanation:

3 cells every 2 second

1.5 cells per second

therefore

    after x seconds there ll be 1.5 *x number of cells

 =1.5x cells

If a/b= 8 and ac -5 = 11, then bc =?

Answers

Answer:

bc = 2

Step-by-step explanation:

From [tex]a/b = 8[/tex]

[tex]a=8b[/tex] (times b on both sides)

We can then substitute [tex]a[/tex] for [tex]8b[/tex]:

[tex]ac-5=11[/tex] (given equation)

[tex]8bc-5=11[/tex]

[tex]8bc=16[/tex]

[tex]bc=2[/tex]

I hope this helps :)

They want me to put something here and the question is the picture

Answers

Answer:

D. (1, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

5x - 2y = 9

3x + 4y = -5

Step 2: Rewrite systems

10x - 4y = 18

3x + 4y = -5

Step 3: Solve for x

Add to equations together:                    13x = 13Divide 13 on both sides:                          x = 1

Step 4: Solve for y

Define:                              3x + 4y = -5Substitute in x:                 3(1) + 4y = -5Multiply:                            3 + 4y = -5Isolate y term:                  4y = -8Isolate y:                           y = -2

And we have our final answer!

Is 379 in the sequence below?
5,7,9,11,13.......

Answers

yes it is cause it’s an odd number and it’s going up by odd numbers

Can somebody help me with this? Will mark brainliest!

Answers

Answer:

2. A reflection of the y axis followed by a translation.

Step-by-step explanation:

ABC was reflected across the y-axis and then translated down.

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